 | Enoch Lewis - 1826 - 180 pages
...roots,—a,—b, And —c. By pursuing this inquiry it will be found, that any equation of this kind, admits of as many roots as there are units in the index of the highest power of the unknown quantity; that the number of positive and negative roots, will be, respectively,... | |
 | James Thomson - 1844 - 328 pages
...product can become nothing only when one or more of its factors vanish. An equation, therefore, can have as many roots as there are units in the index of the highest power of the unknown quantity, and no more. 173. From § 172. we see, conversely, that if the... | |
 | James Thomson - 1845 - 328 pages
...product can become nothing only when one or more of its factors vanish. An equation, therefore, can have as many roots as there are units in the index of the highest power of the unknown quantity, and no more. 173. From § 172. we see, conversely, that if the... | |
 | Samuel Alsop - 1846 - 300 pages
...we have V = (x — a) Q = 0, which may be satisfied by making x — a = 0, that is x = a. 136. Every equation has as many roots as there are units in the index of the highest power of the unknown quantity. Let a be a root of the equation af + Аж"-'. . . . Pr + R =... | |
 | C R. Lupton - 1879 - 194 pages
...sheep cost 50s. each, the oxen 251. How many of each did he buy ? ON THE ROOTS OF EQUATIONS. 141. Every equation has as many roots as there are units in the index of the highest power of the unknown quantity. Thus a simple equation has only one root, a quadratic equation... | |
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equation has as many roots as there are units in the index of the 